Re: Rearranging a tensor
- To: mathgroup at smc.vnet.net
- Subject: [mg22461] Re: Rearranging a tensor
- From: Brian Higgins <bghiggins at ucdavis.edu>
- Date: Sun, 5 Mar 2000 00:23:54 -0500 (EST)
- References: <89icvm$n7d@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <89icvm$n7d at smc.vnet.net>,
"DIAMOND Mark" <noname at noname.com> wrote:
> I have
>
> In[1]:= a={{1,2},{3,4}};
>
> In[2]:= b=Table[1,{3},{3}];
>
> In[3]:= c=Outer[Times,a,b]
>
> Out[3]= {{{{1, 1, 1}, {1, 1, 1}, {1, 1, 1}},
>
> > {{2, 2, 2}, {2, 2, 2}, {2, 2, 2}}},
>
> > {{{3, 3, 3}, {3, 3, 3}, {3, 3, 3}}, {{4, 4, 4}, {4, 4, 4}, {4, 4,
4}}}}
>
> In[4]:= c//MatrixForm
>
> Out[4]//MatrixForm=
> 1 1 1 2 2 2
> 1 1 1 2 2 2
> 1 1 1 2 2 2
>
> 3 3 3 4 4 4
> 3 3 3 4 4 4
> 3 3 3 4 4 4
>
> I would now like to rearrange c so that it is of the form
> {{1,1,1,2,2,2},{1,1,1,2,2,2},{1,1,1,2,2,2},{3,3,3,4,4,4},{
3,3,3,4,4,4},{3,3
> ,3,4,4,4}}
>
> There must be a *simple* way to do this but I cannot see it. Help
would be
> appreciated.
>
> Cheers,
>
> Mark R Diamond
> Vision Research Laboratory
> The University of Western Australia
> no spam email: markd at psy dot uwa dot edu dot au
>
>mark,
Try this
Flatten[Map[Transpose[Flatten[#, 1]] &, c], 1]
Cheers,
Brian
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